Speaker:
Shahed Sharif
Speaker Link:
Institution:
California State University San Marcos
Time:
Friday, April 5, 2019 - 11:00am to 11:50am
Location:
PSCB 220
In this talk we will review a recent paper by Eisentraeger-Hallgren-Lauter-Morrison-Petit (available at https://eprint.iacr.org/2018/371). This paper gives reductions between several important computational problems including finding a path in the $\ell$-isogeny graph between two supersingular elliptic curves, and computing the endomorphism ring of a supersingular elliptic curve curve. This work requires some background on quaternion algebras which can be in Voight's book https://math.dartmouth.edu/~jvoight/quat-book.pdf.